Quantitative Aptitude PYQ — Page 407

24,303 questions across SSC exams.

  1. SSC CGL • 2024

    If the 9-digit number 5x79856y6 is divisible by 36, then what is the negative value of √((2x + y)) for the largest possible value of y, given x and y are natural numbers?

  2. SSC CHSL • 2023

    If 2x + 5y = 15 and xy = 6, then the value of 4x² + 25y² is ____.

  3. SSC CGL • 2025

    A bakery produced 5000 cakes at a total cost of ₹250,000. They gave away 500 cakes for a promotional event. For the remaining cakes, they offered a 20% discount on the market price of ₹75 per cake. Additionally, they gave one cake free with every 9 cakes…

  4. SSC CHSL • 2020

    A mobile phone was sold for Rs.31,500 after giving two successive discounts of 30% and 10%, respectively. What was the marked price of the mobile?

  5. SSC CGL • 2019

    If the data regarding the production of cars of type B is represented by a table-chart, then the angle of the sector representing the production of cars in 2016 will be:

  6. SSC CHSL • 2023

    IF ΔABC ∼ ΔPQR, the ratio of perimeter of ΔABC to perimeter of ΔPQR is 36: 23 and QR-3.8 cm, then the length of BC is:

  7. SSC CHSL • 2025

    If sin(x) = 3/5, find cos(x).

  8. SSC CGL • 2020

    ABC is an equilateral triangle. P, Q, and R are the midpoints of sides AB, BC, and CA, respectively. If the length of the side of the triangle ABC is 8 cm, then the area of ΔPQR is :

  9. SSC CGL • 2023

    S₁ and S₂ are two stations which are 195 km apart. A train starts from S₁ at 4:00 pm and moves towards S₂ at the speed of 65 km/h. Another train starts from S₂ at 5:00 pm and moves towards S₁ at the speed of 35 km/h. At what time will the two trains meet?

  10. SSC CHSL • 2022

    A man P purchased land for ₹4,32,000 on the outskirts of a city. Due to some reason, its value depreciated at 25% per annum and he sold it to Q after 2 years. At this time, the city expanded and new projects of infrastructures started coming up. As a result…

  11. SSC CHSL • 2023

    Amisha announced a festival discount of 30 % on all items in her gift shop. Gurmeet bought a gift for himself. He got a discount of ₹ 1,110. What was the marked price of the gift?

  12. SSC CGL • 2022

    In an △ABC, ∠A = 66°, BDꞱ AC, and CE Ʇ AB. BD and EC intersect at P. The bisector ∠PBC and ∠PCB meet at Q. What is the measure of ∠BQC?

  13. SSC CHSL • 2022

    If the volume of a sphere is 972π cm³, then find its radius.

  14. SSC CGL • 2025

    The investments of three partners, P, Q, and R, are initially in the ratio 6:7:9. After a year, P adds ₹30,000, Q adds ₹25,000, and R adds some amount to their respective investments. The new ratio of their investments becomes 8:9:11. Find the amount (in ₹)…

  15. SSC CHSL • 2025

    Calculate the sum of the series: 1+2+3+...+40+41+40+...+3+2+1.

  16. SSC Selection Post • 2023

    Aravind deposited ₹18,500 for 5 years at simple interest. After 5 years, he received ₹4,625 as interest. The annual rate of interest was:

  17. SSC CHSL • 2024

    Two circles have radii of 27 cm and 36 cm. The distance between their centres is 45 cm. What is the length (in cm) of their common chord?

  18. SSC CHSL • 2021

    The length of the base of a triangle is 3 cm smaller than the length of its altitude. Its area is 104 cm². What is the length of the base?

  19. SSC CGL • 2024

    The following table represents the total number of research scholars and the respective number of female research scholars in various departments of a university. Study the table carefully and answer the question that follows. [Table] What is the ratio of…

  20. SSC CGL • 2023

    A watch is purchased for ₹3,200 and sold for ₹2,700. Calculate the percentage loss up to two places of decimal.

  21. SSC CGL • 2020

    In ΔABC , ∠B = 72ᵒ and ∠C = 44ᵒ. Side BC is produced to D. The bisectors of ∠B and ∠ACD meet at E. What is the measure of ∠BEC ?

  22. SSC CGL • 2021

    In a triangle PQR, point E and F are on sides PQ and PR respectively such that EF is parallel to QR. If PE = 2 cm and EQ = 3 cm, then area( Δ PQR) : area( Δ PEF) is equal to:

  23. SSC MTS • 2022

    A and B can do a piece of work together in 10 days, B and C can do the same work together in 15 days, while C and A can do the same work together in 20 days. In how many days can A, B and C do the same work, working together?

  24. SSC CHSL • 2022

    If the diameter of a solid hemisphere is 14 cm, then what will be its total surface area? (π=22/7)

  25. SSC GD • 2021

    In how much time will ₹ 5000 amount to ₹ 6800 at a simple interest of 9% per annum?

  26. SSC CGL • 2023

    If sec θ + tan θ = 5, then find the value of tan θ .

  27. SSC CGL • 2023

    If 2 cot x = 5, then what is (2 cos⁡x-sin⁡x)/(2 cos⁡x+sin⁡x) equal to?

  28. SSC CGL • 2025

    If 25% of A = 20% of B = 10% of C, find A : B : C.

  29. SSC CHSL • 2024

    How much water should be added to 60 liters of milk at 1 1/2 liters a rupee so as to have a mixture worth 1 7/8 liters a rupee?

  30. SSC CGL • 2022

    If cot x – tan x = 3/2, then what will be the value of cot x + tan x?

  31. SSC CHSL • 2023

    The pie chart shows the cost of construction of a house. (in degrees). [Image] The amount spent on labour exceeds the amount spent on cement by:

  32. SSC CGL • 2025

    Simplify: (12/5+2.8)-13/5

  33. SSC CHSL • 2020

    A dealer marks his goods at 30% above the cost price. Then he allows 35% discount on it. What would be his loss percentage?

  34. SSC CGL • 2022

    If tan B = 5/3 , what is the value of (cossecB+sinB)/(cosB-secB) ?

  35. SSC CGL • 2022

    A man started off a bussiness with a certain capital amount. In the first year, he earned 60% profit and donated 50% of the total capital (initial amount+profit). He followed the same procedure with the remaining capital after the second and the third year…

  36. SSC CGL • 2025

    Solve: √((5 × 196 ÷ 14 + 25 - 4))

  37. SSC GD • 2019

    An article is sold for Rs.5845 after giving discount of 12.5%. What is the marked price of article?

  38. SSC MTS • 2022

    The following pie chart shows the percentage distribution of employees in five departments of a company XYZ. [Image]

  39. SSC CHSL • 2024

    The sides of a cuboid are in the ratio 3 : 4 : 5 and its surface area is equal to the surface area of the cube with side 6 units. What is the approximate volume of the cuboid?

  40. SSC CGL • 2022

    Find the value of the following expression: ((7.03)³-(0.027))/((7.03)²+2.109+(0.3)²)

  41. SSC CHSL • 2024

    Ram and Shyam start walking from the same place in the opposite direction. If Shyam walks at a speed of 5 1/4 km/hr and Ram at a speed of 3 km/hr, then after how much time will they be 44 km apart?

  42. SSC CGL • 2022

    A sold a mobile phone to B at a gain of 25% and B sold it to C at a loss of 10%. If C paid Rs. 5,625 for it, how much did A pay (in Rs) for the phone?

  43. SSC CGL • 2023

    The following pie charts show the data of the number of appeared and passed students of class 12 in sections A, B, C, D and E. [Image] What is the percentage of students who appeared for the exam in section E (correct to one decimal place)?

  44. SSC Selection Post • 2022

    If a + b + 2 and ab + 4, then find the value of a⁴+ b⁴ + ab³ + ba³.

  45. SSC MTS • 2022

    The following bar graph shows the percentage of students from five different colleges who are selected for a maths quiz. [Image] The ratio of the number of students in colleges P, Q, R, S, and T is 2 : 4 : 3 : 1 : 3, respectively. If 25 students are selected…

  46. SSC CGL • 2023

    The area of a sector is 1848 m² and the central angle of the sector is 270°. Find the radius of the circle. (Take π = 22/7)

  47. SSC CGL • 2023

    If the diameter of a sphere is 7 cm, then find the volume of the sphere. (use π =22/7 ) (Rounded up to two places of decimal).

  48. SSC CHSL • 2024

    Find the total amount of debt that will be discharged by 5 equal instalments of ₹200 each, if the debt is due in 5 years at 5% p.a. at simple interest.

  49. SSC CHSL • 2020

    Find the difference between the compound interest when compounded yearly and half yearly on a sum of Rs. 8,000 for 1 year at the rate of 10% per annum.

  50. SSC Selection Post • 2024

    A person mixes two liquids, x and y. One litre of x weighs approximately 900 g, and one litre of y weighs approximately 750 g. If one litre of the mixture weighs approximately 800 g, then the percentage of x in the mixture is: